Answer:
5x -12 = 3x +8 (set the two = each other because they are the same length)
2x- 12= 8 (subtract 3x from both sides)
2x = 20 (add 12 to both sides)
x=10 (what x= for both expressions)
5(10) -12 (plug it into the first one to see what the length is and to see they're =
50 - 12 ( I already multiplied, now subtract)
38 (what the length of TR is)
3(10) +8 (plug it in again but into the other expression)
30+8 (multiply and add)
38 (the two have the same answer, so the x-value is correct.)
38+38= 76 (add the lengths of RS and TR and you get the length of TS)
Step-by-step explanation:
I hope this helps :)
Applying the segment addition theorem, the value of TS is: 76
Given:
TR = 5x - 12
RS = 3x + 8
If T is the midpoint of TS, therefore we would have the following equation:
TR = RS
Plug in the expressions5x - 12 = 3x + 8
Add like terms together5x - 3x = 12 + 8
2x = 20
Divide both sides by 2x = 10
TS = TR + RS (segment addition theorem)
SubstituteTS = 5x - 12 + 3x + 8
Plug in the value of xTS = 5(10) - 12 + 3(10) + 8
TS = 50 - 12 + 30 + 8
TS = 76
Learn more about segment addition theorem on:
https://brainly.com/question/1397818
pleasee help!! im confused
Answer:
28k + 68
Step-by-step explanation:
7(8 + 4k) + 12
first, you use the distributive property on the parentheses
56 + 28k + 12
then you add like term, 56 + 12 = 68
68 + 28k
numbers with variables go first
28k + 68
This formula is used to calculate the weekly pay of a letting agent. Weekly pay = basic pay + number of houses rented x bonus The basic pay is £400 and a bonus of £75 is paid for each house rented. Mrs Lewis rents out 5 houses in one week. Calculate her pay.
Answer:
£775
Step-by-step explanation:
From the question, it was given that:
Weekly pay = basic pay + number of houses rented x bonus
This expression can be used to determine the amount of money being paid to the agent every week.
When basic pay = £400, bonus = £75, and the number of house rented = 5.
Then,
Weekly pay = 400 + 5(75)
= 400 + 375
= 775
Weekly pay = £775
The amount of money paid to Mrs Lewis every week is £775.
A car travels 180 miles in 3 hours and 45 minutes. How many miles does it travel per hour?
Answer:
48 miles per hour
Step-by-step explanation:
first I would convert everything to hours It makes it easier. That means that 3 hours and 45 mins becomes 3 3/4 hours So now you have 180/3.75 = the rate. To find the answer, simply divide that, and you get 48. 48 miles per hour
Answer:
ASK
DISTANCE DISTANCE FORMULA DISTANCE WORD PROBLEMS DISTANCE, RATE, TIME SPEED DISTANCE TIME DISTANCE WORD PROBLEM
Michaela B. asked • 09/02/15
A car travels 180 miles in t hours at a speed of r mph. If the car travels half as fast but three times as long, how far does it travel?
Use the fact that distance equals speed times time.
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Michael J. answered • 09/02/15
TUTOR 5 (5)
Effective High School STEM Tutor & CUNY Math Peer Leader
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d = vt
where:
v = speed
d = distance
t = time
Based on the formula, each quantity is directionally proportional to each other. Since we don't have enough numbers to work with, we will utilize our concept skills.
If the car travels half the speed, then the car is slowing down and covers a short distance in a certain amount of time than it did originally. So we divide the default distance by 2.
180 / 2 = 90
The new distance so far is 90 miles.
But now it takes the car 3 times as long to get to its destination. The longer it takes, the more distance you will cover. Multiply the current distance by 3.
90 * 3 = 270
The car travels 270 miles.
Jason claims he has finished reading 25% of his book. If his book has 200 pages, how many pages has he read?
Answer:
Jason has read 50 pages.
Step-by-step explanation:
25% of 200 = 50
Remember "of" means multiply so you multiply 25% to 200
25% x 200
Convert 25% into a decimal
0.25 x 200 = 50
So Jason has read 50 pages.
How do you find the run between two points? Can the rise be negative? Explain
Answer:
Step-by-step explanation:
To find run between two points, you will use the x-values.
For example, (2,3) and (4,5).
Your equation for slope is m=[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
To find the run of these two numbers, you will subtract the second x value from the first x value.
Your answer would be 2 for the run.
It is possible for the rise to be negative if the y value of the point is greater in the first point than the second.
Example:
points (2,8) and (5,1)
1 - 8 would equal -7.
12. Four shovels of sand are used for every 5 shovels of gravel in making concrete.
How much gravel is needed for 64 shovels of sand?
Answer:
80
Step-by-step explanation:
64s : Xg
4s.Xg = 5g.64s
X = (5g*64s)/4sg
= 5*64/4
= 5*16
= 80
Jason made 42 christmas cookies he gave half to his teacher he ate 1 third of the cookies that were left then gave 8 cookies to his little sister how many coookies do santa get
Answer:
Im only doing this to message people and really this is easy dig deeper
Step-by-step explanation:
bus a leaves every 30 mins
bus b leaves every 20 mins
at 10 am both buses leave the station together
work out the next time they will leave at the same time
Answer:
Step-by-step explanation:
Find the LCM of 30 & 20
30 = 2 * 5 * 3
20 = 2 * 2 * 5
LCM = 2 * 3 * 2 * 5 = 60
60 minutes = 1 hour
So, again at 10am both will leave at the same time
Answer:
11 am.
Step-by-step explanation:
That would be the LCM of 20 and 30 which is 60 minutes.
So the nexrt time will be 10.00 + 60 mins
= 11.00 am.
What is the correct answer?!
HELP FAST!
Answer:6.66
Step-by-step explanation:
I’m pretty sure its infinite if not just putt that answer
Answer: 84 r4
Step-by-step explanation:
I think that is correct.
what does x + 16 equal when x means 7?
Answer:23
Step-by-step explanation:
What is the LCF of 60 and 10 ?
Do you mean LCM
If you just want to know what is the least common multiple of 10 and 60, it is 60
Answer:
the lowest common factor is 5
Step-by-step explanation
5 can go into both 60 and 10, and thats the lowest that can go into both numbers because 5 times 2 is equal to 10 and 5 times 12 is equal to 60. hope this helps :)
In a recent survey 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl but another 3/16 admitted they would have preferred to use a straw instead of 39 of the Siamese cats gave one of these two answers how many were surveyed in total make sure your answer is fully reduced
Answer:
48 Siamese cats were surveyed
Step-by-step explanation:
Let x represent the total number of surveyed Siamese cats.
Since 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl , hence:
Number of cats who lapped = (5/8)x
Also, 3/16 admitted they would have preferred to use a straw:
Number of cats who used straw = (3/16)x
Taking into consideration that 39 of the Siamese cats gave one of those two answers:
(5/8)x + (3/16)x = 39
(13 / 16)x = 39
x = 39 * 16 / 13
x = 48
48 Siamese cats were surveyed
domain and range on a graph
Answer:
domain is d. range is (0,1,2,3,4,5,6,7,8,9,10,11,12)
Find the slope of 6x – 3y = 5
Answer:
slope is 2
Step-by-step explanation:
simplify this equation so that you can get to "y ="
your equation is: 6x - 3y = 5
start by subtracting 6x from both sides: -3y = -6x - 5
then divide both sides by -3 to isolate y: y = 2x - 5/3
so now we can clearly see that the slope is 2, since that is what is right next to x
Emma used 1/7 of a liter of milk to make 1/3 of a jug of tea. How much milk, in liters, is required to fill the jug?
Answer:
Step-by-step explanation:
Well....if 1/7 liters of milk makes 1/6 of a jug
Then six times this must be a full jug....so
6*(1/7) =
6/7 liters of milk required
i hope this helps you happy holidays let me know if you need more information
Answer:
6/7
Step-by-step explanation:
Kylie is creating a scale drawing of her bedroom. The actual length of her bodis 75 inches fi inch on her drawing represents 2 feel how long should her bed
be in the drawing?
Answer:
77 feet
Step-by-step explanation:
Natasha has a $50 gift certificate
to the jewelry store. She has
chosen several bracelets that are
$20 each. If the cost of the
bracelets is $30 after the gift
certificate is credited, how many
bracelets did Natasha buy?
Answer:
she bought 4 braclets
Step-by-step explanation:
if you do 20 times 4 it gets you 80 and if you subtract 50 it leaves you with 30 meaning she bought 4 bracelets
i do hope this helps even tho my explanation isn't exactly the best
Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets. Sara used the equation 15 x minus 28.50 = 99 to determine x, the amount she should charge for each bracelet to make a profit of $99. How much should each bracelet cost? $4.70 $6.60 $8.50 $13.75
Each bracelet should cost $8.50. Replace x with 8.50, 15(8.50)-28.50=99
hope this helps :)
Answer:
the answer is c, 8.50
Step-by-step explanation:
What is the solution to the following system of equations?
4x + 2y = 6
x − y = 3
A. (2, 1)
B. (−2, −1)
C. (2, 4)
D. (2, −1)
EEEEEEEEEEEEEEEEEEEEEEEE
A new pair of boots is priced at $123.75, plus 6% sales tax. What is the total cost of the boots?
Answer:
131.18
Step-by-step explanation:
What is the constant variation of 2x+y=-4?
Answer:
What is the constant variation of Y =- 2 3x?
The constant of variation, k , is 23 .
What is the constant variation of Y 1 2x?
The constant of variation, k , is 12 .
Step-by-step explanation:
yeet yeet yeet
The minute hand of a clock in a clock tower has a length of 36 inches.
If a butterfly landed on the extreme tip of the minute hand at exactly 12:00 noon and rode the minute hand until 12:45 p.m., how far did the butterfly ride along the arc traced by the minute hand?
45 i guessStep-by-step explanation:
PLEASE HELP DUE IN 6 MINS!!!!!!!!!!!!!!!!!!!!!
Box of nails: $3.80
Box of screws:$5.25
Claw Hammer:$12.95
Electric Drill:$42.50
a.Write two expressions to represent the total cost of 3 boxes of nails, 2 boxes of screws, 2 hammers, and 1 electric drill.
b.What is the total cost of the items purchased?
Answer:
Step-by-step explanation:
a. 3n+2s+2h+1x=42.50
b. 90.3
(PLEASE HELP ME ASAP
a) The length of a rectangle is 3 m longer than its width and the area of the rectangle is 108 m². Find its length.
−5(3x − 39) = 2(x − 3) − 3
Answer:
x=12
Step-by-step explanation:
PLEASE LOOK AT PICTURE! WHOEVER HAS CORRECT ANWSER I WILL MARK BRAINIEST!!!
its B trust me mark me brainliest
Answer:
C.) y = 5/4x - 4
Step-by-step explanation:
Points: (0,-4) and (4,1)
m = y2 - y1/x2 - x1
m = 1 - (-4)/4 - 0
m = 1 + 4/4
m = 5/4
Point: (4,1) (you may choose any points, but I will choose these since they are the easiest to work with)
y - y1 = m(x - x1)
y - 1 = 5/4(x - 4)
y - 1 = 5/4x - 5
y = 5/4x - 5 + 1
y = 5/4x - 4
What is the difference?
7-3=
A. 3
B. 4.
O c. 5
OD. 10
O E. 11
What is h(p)=(p3+4p2-2) in distributive property
I need the answers to these questions ASAP, thank you in advance!
Answer:
1. sliver's gym
2. sliver's gym
3. fitness planet
4. fitness:345 to sliver: 185
Step-by-step explanation:
1. with zero months
fitness planet cost is C = 22(0)+15= 15
sliver's gym cost is C = 15(0)+5= 5
2. sliver's gym because the rate of change is slower than fitness, resulting in you paying less for monthly memberships
3. Fitness planet because the rate of change is higher meaning that you will pay more for the monthly memberships.
4. Fitness planet C = 22(12)+15 = 345
Sliver's gym C = 15(12)+15 = 185